The Chewy Candy Company is test marketing a new candy bar in Seoul and Manila. In Seoul, the company sold 40 candy bars the firs
t month, and each month the cumulative total number of candy bars sold increases by 60. In Manila, the company sold 20 candy bars the first month, and the cumulative total number of candy bars sold increases by approximately 80% each month. In which month will the cumulative total number of candy bars sold in Manila first exceed the cumulative total in Seoul?
2 answers:
Looking at the image attached, we can see the assumed sales of the Chewy Candy Company for its new candy bar in Manila and Seoul. Setting up the given condition for separate branches, we clearly see that during the 6th month, the total sales in Manila first exceeded the cumulative total sales in Seoul.
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9514 1404 393
Answer:
x ≈ 0.309906932381 or 4
Step-by-step explanation:
There are no algebraic methods of solving a mixed exponential and polynomial equation. The value of x can be found by guessing, or by other means such as trial and error or graphing.
Attached is a graph showing two solutions. x = 4 is the integer solution (2^4 = 4·4). The irrational solution is approximately x ≈ 0.309906932381. That precision is obtained by Newton's method iteration, easily done by a graphing calculator.
